document.write( "Question 374097: Find two integers whose product is 104 such that one of the integers is three less than twice the other integer. \n" ); document.write( "
Algebra.Com's Answer #266355 by rfadrogane(214)![]() ![]() You can put this solution on YOUR website! Find two integers whose product is 104 such that one of the integers is three less than twice the other integer. \n" ); document.write( "Sol'n: \n" ); document.write( " Let x = the 1st integer \n" ); document.write( " y = the 2nd integer \n" ); document.write( " xy = 104 ----(1) \n" ); document.write( " x = 2y - 3 ----(2) \n" ); document.write( "substitute (2)into (1) \n" ); document.write( " y(2y-3)=104 \n" ); document.write( " 2y^2 - 3y - 104 = 0, factor \n" ); document.write( " (y-8)(2y+13)= 0 \n" ); document.write( " y = 8 & -6.5 \n" ); document.write( " from (1) \n" ); document.write( " x = 104/y, subs. the value of y to find the value of x. \n" ); document.write( " let y = 8, \n" ); document.write( " x = 104/8 = 13 \n" ); document.write( " let y = -6.5 \n" ); document.write( " x = 104/(-6.5) = -16 \n" ); document.write( "and finally: \n" ); document.write( " when x = 13, y = 8 -----answer \n" ); document.write( "and, when x = -16, y = -6.5 -----answer \n" ); document.write( " \n" ); document.write( " |